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Finding the Fourth Proportional to 280,498.68, 420,823.19 and 80,836.52

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Solution

The fourth proportional to 280,498.68, 420,823.19 and 80,836.52 is: 121,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,498.68 : 420,823.19 = 80,836.52 : x
  2. Step 2: Convert to fraction form
    280,498.68/420,823.19 = 80,836.52/x
  3. Step 3: Cross multiply
    280,498.68x = 420,823.19 × 80,836.52
  4. Step 4: Simplify right side
    280,498.68x = 34,017,880,312.87
  5. Step 5: Solve for x
    x = 34,017,880,312.87/280,498.68
  6. Step 6: Final answer
    x = 121,276.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.